Add 30/10 and 49/56
1st number: 3 0/10, 2nd number: 49/56
30/10 + 49/56 is 31/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 10 × 28 = 280,
30/10 = 30 × 28/10 × 28 = 840/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Add the two like fractions:
840/280 + 245/280 = 840 + 245/280 = 1085/280 - 1085/280 simplified gives 31/8
- So, 30/10 + 49/56 = 31/8
In mixed form: 37/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/10+49/56 30/10+98/56 30/20+49/56 90/10+49/56 30/50+49/56 30/70+49/56